Decompositions in categories of highest weight modules

DOI10.1016/0021-8693(86)90083-9zbMath0601.17005OpenAlexW2080334584MaRDI QIDQ1080935

Brad Shelton, Thomas J. Enright

Publication date: 1986

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90083-9

zbMATH Keywords

decompositionsignatureindecomposable modulesVerma moduletranslation functorcomplex semisimple Lie algebrainvariant bilinear form

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (4)

Tilting Modules for Lie Superalgebras ⋮ A decomposition theorem for certain self-dual modules in the category \(\mathcal O\) ⋮ Quantization and injective submodules of differential operator modules ⋮ Extensions between generalized Verma modules: The Hermitian symmetric cases

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moduln mit einem höchsten Gewicht
• Representations of real reductive Lie groups
• Models of representations of compact Lie groups
• Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Homomorphisms Between Generalized Verma Modules
• Continuation of unitary derived functor modules out of the canonical chamber
• Splitting Criteria for -Modules Induced from a Parabolic and the Bernstein-Gelfand-Gelfand Resolution of a Finite Dimensional, Irreducible -Module
• Uniqueness of Embeddings of Certain Induced Modules

This page was built for publication: Decompositions in categories of highest weight modules